I wasn't looking for historical accuracy, but it is interesting that Tom Stoppard would make all those mistakes. Rosencrantz and Guildenstern Must Die was a brilliant idea.
Stoppard's contributions were the witty asides and offhand concepts (that mug that says 'Property of Stratford Upon Avon'). The overall plot and conception were the work of the other writer. How about Geoffrey Rush telling Will to 'talk prose'? That was a great touch.